Convergence Rates of Monotone Schemes for Conservation Laws for Data with Unbounded Total Variation [PDF]
, 2022 We prove convergence rates of monotone schemes for conservation laws for Hölder continuous initial data with unbounded total variation, provided that the Hölder exponent of the initial data is greater than 12/.
Lye, Kjetil Olsen +3 more
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Relaxation to Fixed Points in the Logistic and Cubic Maps: Analytical and Numerical Investigation
Entropy, 2013 Convergence to a period one fixed point is investigated for both logistic and cubic maps. For the logistic map the relaxation to the fixed point is considered near a transcritical bifurcation while for the cubic map it is near a pitchfork bifurcation. We
Edson D. Leonel +2 more
doaj +1 more source
General Bahr-Esseen inequalities and their applications
Journal of Inequalities and Applications, 2017 We study the Bahr-Esseen inequality. We show that the Bahr-Esseen inequality holds with exponent p if it holds with exponent q > p $q>p$ for the truncated and centered random variables.
István Fazekas, Sándor Pecsora
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The generalized convergence exponent of a complex sequence [PDF]
, 1987 Our aim in this paper is to give several new expressions for the kth-convergence exponent of a complex sequence, and an extension of this concept to a certain class of real ...
Bernal González, Luis
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On the Essential Decreasing of the Summation Order in the Abel-Lidskii Sense
MathematicsIn this paper, we consider a problem of decreasing the summation order in the Abel-Lidskii sense. The problem has a significant prehistory since 1962 created by such mathematicians as Lidskii V.B., Katsnelson V.E., Matsaev V.I., Agranovich M.S. As a main
Maksim V. Kukushkin
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Convergence groups, Hausdorff dimension, and a Theorem of Sullivan and Tukia
, 2004 We show that a discrete, quasiconformal group preserving Hopf n has the property that its exponent of convergence and the Hausdorff dimension of its limit set detect the existence of a non-empty regular set on the sphere at infinity to Hopf n.
Taylor, E.C. +2 more
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Asymptotic Analysis of Low Energy Extremals with Γ-Convergence in Variable Exponent Lebesgue Spaces
Fractal and Fractional, 2022 In many physical models, internal energy will run out without external energy sources. Therefore, finding optimal energy sources and studying their behavior are essential issues.
Adil Siddique +3 more
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Region of Convergence of Dirichlet Series with Complex Exponents [PDF]
Proceedings of the American Mathematical Society, 1956 the series converges absolutely. In this paper we give a simpler definition (5) of the maximal region, a generalization (4) of the CauchyHadamard formula to give the distance from an interior point to the frontier of this region, and, as an application of this formula, a generalization (Theorem 2) of Hille's result.
openaire +2 more sources
Schatten Index of the Sectorial Operator via the Real Component of Its Inverse
MathematicsIn this paper, we study spectral properties of non-self-adjoint operators with the discrete spectrum. The main challenge is to represent a complete description of belonging to the Schatten class through the properties of the Hermitian real component. The
Maksim V. Kukushkin
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Characterization of Riesz and Bessel potentials on variable Lebesgue spaces
Journal of Function Spaces and Applications, 2006 Riesz and Bessel potential spaces are studied within the framework of the Lebesgue spaces with variable exponent. It is shown that the spaces of these potentials can be characterized in terms of convergence of hypersingular integrals, if one assumes that
Alexandre Almeida, Stefan Samko
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